On the exit statistics theorem of many particle quantum scattering
Quantum Physics
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We review the foundations of the scattering formalism for one particle potential scattering and discuss the generalization to the simplest case of many non interacting particles. We point out that the "straight path motion" of the particles, which is achieved in the scattering regime, is at the heart of the crossing statistics of surfaces, which should be thought of as detector surfaces. We sketch a proof of the relevant version of the many particle flux across surfaces theorem and discuss what needs to be proven for the foundations of scattering theory in this context.
Cite
@article{arxiv.quant-ph/0405007,
title = {On the exit statistics theorem of many particle quantum scattering},
author = {Detlef Duerr and Stefan Teufel},
journal= {arXiv preprint arXiv:quant-ph/0405007},
year = {2007}
}
Comments
15 pages, 4 figures; to appear in the proceedings of the conference "Multiscale methods in Quantum Mechanics", Accademia dei Lincei, Rome, December 16-20, 2002